A Class of Harmonic Meromorphic Functions with Negative Coefficients

Authors

  • Bhaskaran Adolf Stephen
  • Paramasivam Nirmaladevi
  • Tirumalai Vinjimur Sudharsan
  • Kumbakonam Govindarajan Subramanian

Keywords:

Harmonic functions, Meromorphic functions, Starlike functions

Abstract

A class of complex-valued harmonic meromorphic functions of the form gif.latex?f(z)&space;=&space;h(z)+\overline{g(z)}, gif.latex?|z| > gif.latex?1, is introduced. It is shown that the functions in this class are orientation preserving and univalent outside the unit disk. Necessary and Sufficient coefficient conditions are obtained for functions in this class, which are also shown to be necessary when the co-analytic part gif.latex?g has negative coefficients. Distortion bounds, extreme points, convolution condition and convex combination are also obtained.

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Published

2019-12-12

Issue

Vol. 1 No. 1 (2009): June 2009

Section

Research Articles